On the limits of probabilistic forecasting in nonlinear time series analysis II: Differential entropy.
Sign Up to like & getrecommendations! Published in 2017 at "Chaos"
DOI: 10.1063/1.4986394
Abstract: In a previous paper, the authors studied the limits of probabilistic prediction in nonlinear time series analysis in a perfect model scenario, i.e., in the ideal case that the uncertainty of an otherwise deterministic model… read more here.
Keywords: time series; entropy; limits probabilistic; series analysis ... See more keywords
Differential entropy per particle in Dirac semimetals in external magnetic field
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DOI: 10.1063/10.0000697
Abstract: We obtain a general expression for the differential entropy per particle (DEP) for three-dimensional Dirac systems as a function of chemical potential, temperature and magnetic field. It is shown that in the presence of magnetic… read more here.
Keywords: per particle; entropy per; field; magnetic field ... See more keywords
Internal Purity: A Differential Entropy-Based Internal Validation Index for Crisp and Fuzzy Clustering Validation
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Fuzzy Systems"
DOI: 10.1109/tfuzz.2024.3424479
Abstract: In an effective process of cluster analysis, it is indispensable to validate the goodness of different partitions after clustering. Existing internal validation indexes are implemented based on distance and variance, which cannot catpure the real… read more here.
Keywords: purity; validation; index; differential entropy ... See more keywords
Method to improve the accuracy of depth images based on differential entropy
Sign Up to like & getrecommendations! Published in 2021 at "Optical Engineering"
DOI: 10.1117/1.oe.60.3.033105
Abstract: Abstract. The time-of-flight (TOF) camera has recently received significant attention due to its small size, low cost, and low-power consumption, which can be widely used in fields such as automatic navigation and machine vision. The… read more here.
Keywords: based differential; differential entropy; accuracy; improve accuracy ... See more keywords
EEG emotion recognition based on differential entropy feature matrix through 2D-CNN-LSTM network
Sign Up to like & getrecommendations! Published in 2024 at "EURASIP Journal on Advances in Signal Processing"
DOI: 10.1186/s13634-024-01146-y
Abstract: Emotion recognition research has attracted great interest in various research fields, and electroencephalography (EEG) is considered a promising tool for extracting emotion-related information. However, traditional EEG-based emotion recognition methods ignore the spatial correlation between electrodes.… read more here.
Keywords: emotion recognition; emotion; recognition; cnn lstm ... See more keywords
A BERT-based rice enhancer identification model combined with sequence-representation differential entropy interpretation
Sign Up to like & getrecommendations! Published in 2025 at "Frontiers in Plant Science"
DOI: 10.3389/fpls.2025.1618174
Abstract: Rice is a crucial food crop, and research into its gene expression regulation holds significant importance for molecular breeding and yield improvement. Enhancers, as key elements regulating the spatiotemporal-specific expression of genes, represent a core… read more here.
Keywords: enhancer; sequence; model; identification ... See more keywords
Gaussian Optimality for Derivatives of Differential Entropy Using Linear Matrix Inequalities †
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DOI: 10.3390/e20030182
Abstract: Let Z be a standard Gaussian random variable, X be independent of Z, and t be a strictly positive scalar. For the derivatives in t of the differential entropy of X+tZ, McKean noticed that Gaussian… read more here.
Keywords: entropy; matrix inequalities; derivatives differential; linear matrix ... See more keywords
Lower Bounds on Multivariate Higher Order Derivatives of Differential Entropy
Sign Up to like & getrecommendations! Published in 2022 at "Entropy"
DOI: 10.3390/e24081155
Abstract: This paper studies the properties of the derivatives of differential entropy H(Xt) in Costa’s entropy power inequality. For real-valued random variables, Cheng and Geng conjectured that for m≥1, (−1)m+1(dm/dtm)H(Xt)≥0, while McKean conjectured a stronger statement,… read more here.
Keywords: lower bounds; derivatives differential; dtm xgt; entropy ... See more keywords